Numerical simulation of fracture mode transition in ductile plates
Fracture mode of ductile solids can vary depending on the history of stress state the material experienced. For example, ductile plates under remote in-plane loading are often found to rupture in mode I or mixed mode I/III. The distinct crack patterns are observed in many different metals and alloys...
| Main Authors: | , |
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| Format: | Article |
| Language: | en_US |
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Elsevier
2015
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| Online Access: | http://hdl.handle.net/1721.1/96332 https://orcid.org/0000-0001-9390-9691 |
| _version_ | 1826200427840929792 |
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| author | Xue, Liang Wierzbicki, Tomasz |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Xue, Liang Wierzbicki, Tomasz |
| author_sort | Xue, Liang |
| collection | MIT |
| description | Fracture mode of ductile solids can vary depending on the history of stress state the material experienced. For example, ductile plates under remote in-plane loading are often found to rupture in mode I or mixed mode I/III. The distinct crack patterns are observed in many different metals and alloys, but until now the underlying physical principles, though highly debated, remain unresolved. Here we show that the existing theories are not capable of capturing the mixed mode I/III due to a missing ingredient in the constitutive equations. We introduce an azimuthal dependent fracture envelope and illustrate that two competing fracture mechanisms, governed by the pressure and the Lode angle of the stress tensor, respectively, exist ahead of the crack tip. Using the continuum damage plasticity model, we demonstrate that the distinctive features of the two crack propagation modes in ductile plates can be reproduced using three dimensional finite element simulations. The magnitude of the tunneling effect and the apparent crack growth resistance are calculated and agree with experimental observations. The finite element mesh size dependences of the fracture mode and the apparent crack growth resistance are also investigated. |
| first_indexed | 2024-09-23T11:36:19Z |
| format | Article |
| id | mit-1721.1/96332 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:36:19Z |
| publishDate | 2015 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | mit-1721.1/963322022-09-27T20:39:41Z Numerical simulation of fracture mode transition in ductile plates Xue, Liang Wierzbicki, Tomasz Massachusetts Institute of Technology. Department of Mechanical Engineering Wierzbicki, Tomasz Xue, Liang Fracture mode of ductile solids can vary depending on the history of stress state the material experienced. For example, ductile plates under remote in-plane loading are often found to rupture in mode I or mixed mode I/III. The distinct crack patterns are observed in many different metals and alloys, but until now the underlying physical principles, though highly debated, remain unresolved. Here we show that the existing theories are not capable of capturing the mixed mode I/III due to a missing ingredient in the constitutive equations. We introduce an azimuthal dependent fracture envelope and illustrate that two competing fracture mechanisms, governed by the pressure and the Lode angle of the stress tensor, respectively, exist ahead of the crack tip. Using the continuum damage plasticity model, we demonstrate that the distinctive features of the two crack propagation modes in ductile plates can be reproduced using three dimensional finite element simulations. The magnitude of the tunneling effect and the apparent crack growth resistance are calculated and agree with experimental observations. The finite element mesh size dependences of the fracture mode and the apparent crack growth resistance are also investigated. United States. Office of Naval Research. Multidisciplinary University Research Initiative (Massachusetts Institute of Technology) 2015-04-02T16:39:09Z 2015-04-02T16:39:09Z 2008-11 2008-10 Article http://purl.org/eprint/type/JournalArticle 00207683 http://hdl.handle.net/1721.1/96332 Xue, Liang, and Tomasz Wierzbicki. “Numerical Simulation of Fracture Mode Transition in Ductile Plates.” International Journal of Solids and Structures 46, no. 6 (March 2009): 1423–1435. https://orcid.org/0000-0001-9390-9691 en_US http://dx.doi.org/10.1016/j.ijsolstr.2008.11.009 International Journal of Solids and Structures Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Elsevier Elsevier |
| spellingShingle | Xue, Liang Wierzbicki, Tomasz Numerical simulation of fracture mode transition in ductile plates |
| title | Numerical simulation of fracture mode transition in ductile plates |
| title_full | Numerical simulation of fracture mode transition in ductile plates |
| title_fullStr | Numerical simulation of fracture mode transition in ductile plates |
| title_full_unstemmed | Numerical simulation of fracture mode transition in ductile plates |
| title_short | Numerical simulation of fracture mode transition in ductile plates |
| title_sort | numerical simulation of fracture mode transition in ductile plates |
| url | http://hdl.handle.net/1721.1/96332 https://orcid.org/0000-0001-9390-9691 |
| work_keys_str_mv | AT xueliang numericalsimulationoffracturemodetransitioninductileplates AT wierzbickitomasz numericalsimulationoffracturemodetransitioninductileplates |